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受欢迎的代数 >

-72x^2+4050x=250x+5300

解答

- 72 x^{2} + 4050 x = 250 x + 5300

解答

x = \frac{5 ( 95 - 8071 )}{18}, x = \frac{5 ( 95 + 8071 )}{18}

+1

十进制

x = 1.43368 \dots, x = 51.34409 \dots

求解步骤

- 72 x^{2} + 4050 x = 250 x + 5300

将

5300

para o lado esquerdo

- 72 x^{2} + 4050 x - 5300 = 250 x

将

250 x

para o lado esquerdo

- 72 x^{2} + 3800 x - 5300 = 0

使用求根公式求解

x_{1, 2} = \frac{- 3800 \pm 380 0 ^{2} - 4 ( - 72 ) ( - 5300 )}{2 ( - 72 )}

380 0^{2} - 4 (- 72) (- 5300) = 408071

x_{1, 2} = \frac{- 3800 \pm 40 8071}{2 ( - 72 )}

将解分隔开

x_{1} = \frac{- 3800 + 40 8071}{2 ( - 72 )}, x_{2} = \frac{- 3800 - 40 8071}{2 ( - 72 )}

x = \frac{- 3800 + 40 8071}{2 ( - 72 )} : \frac{5 ( 95 - 8071 )}{18}

x = \frac{- 3800 - 40 8071}{2 ( - 72 )} : \frac{5 ( 95 + 8071 )}{18}

二次方程组的解是:

x = \frac{5 ( 95 - 8071 )}{18}, x = \frac{5 ( 95 + 8071 )}{18}

作图

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